Small dragon fruits	Medium dragon fruits	Large dragon fruits
$4	$7	$8

Neave had some dragon fruits in 3 sizes. The number of medium dragon fruits was twice the number of large dragon fruits. The number of large dragon fruits were four times the number of small dragon fruits. He sold all the small and medium dragon fruits. He received $56 from selling ¹₄ of the large dragon fruits.Neave had some dragon fruits in 3 sizes. 
He sold all the small and medium dragon fruits. He received $56 from selling ¹₄ of the large dragon fruits.

1. How many medium dragon fruits did he have at first?
2. How much more did he collect from selling the medium dragon fruits than the small dragon fruits?

Small dragon fruits	Medium dragon fruits	Large dragon fruits
	2x4	1x4
1x1		4x1
1 u	8 u	4 u

(a)
The number of large dragon fruits is the repeated identity. Make the number of large dragon fruits the same.  LCM of 1 and 4 is 4.

	Small dragon fruits	Medium dragon fruits	Large dragon fruits
Before	1 u	8 u	4 u
Change	- 1 u	- 8 u	- 1 u
After	0	0	3 u

Number of large dragon fruits that Neave sold
= ¹₄ x 4 u
= 1 u

	Small dragon fruits	Medium dragon fruits	Large dragon fruits
Number	1 u	8 u	1 u
Value	$4	$7	$8
Total value	4 u	56 u	8 u

Amount that Neave received from selling of ¹₄ of the large dragon fruits = 8 u
8 u = 56

1 u = 56 ÷ 8 = 7

Number of medium dragon fruits at first
= 8 u
= 8 x 7
= 56

(b)
Amount that Neave collected more from selling the medium dragon fruits than the small dragon fruits
= 56 u - 4 u
= 52 u
= 52 x 7
= $364

Answer(s): (a) 56; (b) $364